A small portion of an incompressible liquid in steady flow through a pipe of variable cross section,if friction is negligible,has at each point throughout its path a constant
A)kinetic energy.
B)velocity.
C)potential energy.
D)total energy.
E)momentum.

Question

Quizplus · Accepted Answer

In the context of an incompressible liquid flowing through a pipe of variable cross-section with negligible friction, the principle of conservation of energy applies. This principle, often referred to as Bernoulli's principle in fluid dynamics, states that for an incompressible, non-viscous fluid in steady flow, the total mechanical energy (the sum of the kinetic energy, potential energy due to position, and pressure energy) of the fluid remains constant along any given streamline. Since the question specifies that friction is negligible, it implies that there are no energy losses due to friction, and thus, the total energy (kinetic + potential + pressure) of the fluid remains constant throughout its path. Choices A, B, C, and E refer to specific types of energy or a property of motion that can vary depending on the cross-sectional area of the pipe and the elevation, but the total mechanical energy of the fluid remains constant as per the conservation of energy principle in fluid dynamics.

A Small Portion of an Incompressible Liquid in Steady Flow